Question

How many positive integers less than 100 are multiples of both 16 and 14?

Answer 1

The only positive integers that have an odd number of positive divisors are perfect squares, so the only positive integers less than 103 that have an odd number of positive divisors are 1, 4, 9,. . ., 100. There are 10 of thesenumbers.

Answer 2

write out the multiples of 14 and 16

write out the multiples of 14 and 16 14, 28, 42, 56, 70, 84, 98

write out the multiples of 14 and 16 14, 28, 42, 56, 70, 84, 9816, 32, 48, 64, 80, 96

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